The concept of Cheeger deformations on fiber bundles with compact structure group. [PDF]
Cavenaghi LF, Grama L, Sperança LD.
europepmc +1 more source
Sufficient Conditions for a Bundle-Like Foliation to Admit a Riemannian Submersion onto its Leaf Space [PDF]
Richard H. Escobales
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Semi-invariant Riemannian submersions from nearly Kaehler manifolds [PDF]
Rupali Kaushal +3 more
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RIEMANNIAN SUBMERSIONS FROM RIEMANN SOLITONS
Summary: In the present paper, we study a Riemannian submersion \(\pi\) from a Riemann soliton \((M_1,g,\xi,\lambda)\) onto a Riemannian manifold \((M_2,g^{'})\). We first calculate the sectional curvatures of any fibre of \(\pi\) and the base manifold \(M_2\). Using them, we give some necessary and sufficient conditions for which the Riemann soliton \(
Meriç, Şemsi Eken, Kılıç, Erol
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Nested Hyperbolic Spaces for Dimensionality Reduction and Hyperbolic NN Design. [PDF]
Fan X, Yang CH, Vemuri BC.
europepmc +1 more source
Nested Grassmannians for Dimensionality Reduction with Applications. [PDF]
Yang CH, Vemuri BC.
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Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators. [PDF]
Duruisseaux V, Leok M.
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Maslov index in semi-Riemannian submersions [PDF]
Erasmo Caponio +2 more
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Geometric Characteristics of the Wasserstein Metric on SPD(n) and Its Applications on Data Processing. [PDF]
Luo Y, Zhang S, Cao Y, Sun H.
europepmc +1 more source
Elastic Shape Analysis of Surfaces with Second-Order Sobolev Metrics: A Comprehensive Numerical Framework. [PDF]
Hartman E +4 more
europepmc +1 more source

